Interesting, from Quora:
“The mathematical version of the butterfly effect is easy to test. Some mathematical systems are chaotic and a trivial change in initial conditions will lead to large changes in the result. An example is the logistic difference equation

xn+1=rxn(1−xn)

In physical systems, the double pendulum is an example of a chaotic system, and very small changes in initial conditions lead to large changes in behavior.”

Was the Butterfly Effect ever proved or disproved?

Link: https://www.quora.com/Was-the-Bu

Answer (1 of 2): The “butterfly effect” is an analogy for systems where minimal variations in the input can make a huge difference for the output. There is a branch of science that specializes on these types of systems, it is called “Chaos theory”. These systems are often very hard or even i... Read more